A Course in Modern Geometries
Seiten
2000
|
3rd Corr Print ed.
Springer-Verlag New York Inc.
978-0-387-96922-0 (ISBN)
Springer-Verlag New York Inc.
978-0-387-96922-0 (ISBN)
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A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 introduces Euclid's geometry and the basic ideas of non-Euclidean geometry. The synthetic approach of Chapters 1 - 2 is followed by the analytic treatment of transformations of the Euclidean plane in Chapter 3. Chapter 4 presents plane projective geometry both synthetically and analytically. The extensive use of matrix representations of groups of transformations in Chapters 3 - 4 reinforces ideas from linear algebra and serves as excellent preparation for a course in abstract algebra. Each chapter includes a list of suggested sources for applications and/or related topics.
| Reihe/Serie | Undergraduate Texts in Mathematics |
|---|---|
| Zusatzinfo | illustrations |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 165 x 248 mm |
| Gewicht | 499 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 0-387-96922-5 / 0387969225 |
| ISBN-13 | 978-0-387-96922-0 / 9780387969220 |
| Zustand | Neuware |
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